Theorems · Theorem · field theory
Polynomial.natDegree_eq_natDegree
∀ {R : Type u} {S : Type v} [inst : Semiring R] [inst_1 : Semiring S] {p : Polynomial R} {q : Polynomial S},
p.degree = q.degree → p.natDegree = q.natDegree- Cited by
- 8 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Polynomialstatement and proof · cited by 5,681
- WithBotstatement · cited by 1,498
- Polynomial.natDegreestatement · cited by 1,105
- Polynomial.degreestatement and proof · cited by 643
- WithBot.unbotDproof · cited by 49
Cited by8
Results whose statement or proof uses this declaration.
- Polynomial.resultant_mul_rightproof · cited by 3
- Polynomial.natDegree_map_eq_of_isUnit_leadingCoeffproof · cited by 1
- Polynomial.resultant_scaleRootsproof · cited by 1
- Polynomial.resultant_selfproof · cited by 1
- Polynomial.degree_map_ltproof · cited by 1
- Polynomial.resultant_integralNormalizationproof · cited by 0
- Polynomial.div_tendsto_atBot_leadingCoeff_div_of_degree_eqproof · cited by 0
- Polynomial.resultant_taylorproof · cited by 0